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Finding the Fourth Proportional to 42,721.22, 64,081.84 and 33,347.20

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Solution

The fourth proportional to 42,721.22, 64,081.84 and 33,347.20 is: 50,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,721.22 : 64,081.84 = 33,347.20 : x
  2. Step 2: Convert to fraction form
    42,721.22/64,081.84 = 33,347.20/x
  3. Step 3: Cross multiply
    42,721.22x = 64,081.84 × 33,347.20
  4. Step 4: Simplify right side
    42,721.22x = 2,136,949,934.85
  5. Step 5: Solve for x
    x = 2,136,949,934.85/42,721.22
  6. Step 6: Final answer
    x = 50,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.